In analyzing hits by certain bombs in a war, an area was partitioned into 582 regions, each with an area of 0.85 km2. A total of 525 bombs hit the combined area of 582 regions. Assume that we want to find the probability that a randomly selected region had exactly two hits. In applying the Poisson probability distribution formula, P ( x ) = λ x ∙ e − λ x !, identify the values of λ , x , a n d e . Also, briefly describe the values of λ , x , a n d e .(Type integers or decimals rounded to five decimal places as needed.)
Briefly describe what the symbol λ represents.
Briefly describe what the symbol x represents.
Briefly describe what the symbol e represents.
= 525/582 = 0.90206
x = 2
e = 2.61828 (base of the natural logarithm)
The probability that a randomly selected region had exactly two hits
= P(X = 2)
= = 0.1651
Symbol represents average number of bombs hit in a randomly selected region
Symbol x represents the number of bombs for which the probability needs to be found out
Symbol e is a fixed constant which is base of the natural logarithm
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